the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism ​

Answers

Answer 1

Answer:

[tex]V=34.64\ cm^3[/tex]

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

[tex]V=A\times h[/tex]

Where

A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]

So,

[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]

So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].


Related Questions

If you like peanut butter and chocolate, then you will love Reese's.

What is the converse of the statement?

Answers

Answer:

Reese's love peanut butter and chocolate

hope it helps u

plz mark it as brainliest

PLEASE HELP!10 POINTS
find the maximum value of c=x+3y subject to the following constraints:
9x+2y≥35
x+3y≥14
x≥0
y≥0

Answers

Hello,

14

just see my picture

What is the domain of the function on the graph?

•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0

Answers

Answer:

all real numbers

Step-by-step explanation:

got it right

Answer:

A

Step-by-step explanation:

it is all real numbers

brainiest please

Instructions: Problem 3 ! Find the missing angle in the image below. Do not include spaces in your answers

Answers

Answer:

155

Step-by-step explanation:

first add 72 and 83 = 155. Then use 180-155=25. then subtract 25 from 180.

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit

Answers

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]

Find the derivative of the function to find out the critical points

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

Answer:

4 pairs of shoes.

Step-by-step explanation:

find the next four terms of the sequence 5, 4, 9, 13, 22

Answers

Answer:

38

Step-by-step explanation:

The first term of the given sequence is 9.

The second term is 13

= 9 + 4 . = 9 + 2 × 2.

The next number is 22.

= 13 + 9 . = 13 + 3 × 3 .

In the same way the next number of the given sequence will be

22 + 4 × 4 .

= 22 + 16 = 38.

whats the equation of this horizantal line

Answers

Answer:

[tex]y=-7[/tex]

Step-by-step explanation:

Hope this helps you.

Answer:

y = — 7

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Find all solutions to the equation
in the interval [0, 21). Enter the
solutions in increasing order.
sin 2x = 2 sin x
x = [?],[1]
TT
Remember: sin 20 = 2 sin 0 cos 0

Answers

Answer:

[tex]x=0, \\x=\pi[/tex]

Step-by-step explanation:

Recall the trigonometric identity [tex]\sin 2x=2\sin x\cos x[/tex].

Therefore, given [tex]\sin 2x=2\sin x[/tex], rewrite the left side of the equation:

[tex]2\sin x\cos x=2\sin x[/tex]

Subtract [tex]\sin x[/tex] from both sides:

[tex]2\sin x\cos x-2\sin x=0[/tex]

Factor out [tex]2\sin x[/tex] from both terms on the left:

[tex]2\sin x(\cos x-1)=0[/tex]

We now have two cases:

[tex]\begin{cases}2\sin x=0, x=k\pi\text{ for }k\in \mathbb{Z}\\\cos x-1=0,x=k2\pi\text{ for }k\in \mathbb{Z}\end{cases}[/tex]

Since the problem stipulates that [tex]x[/tex] is in the interval [tex][0, 2\pi)[/tex], we have:

[tex]\text{For }x\in [0, 2\pi):\\\sin x=0\rightarrow \boxed{x=0, x=\pi}\\\cos x-1=0\rightarrow \boxed{x=0}[/tex]

Recall that square brackets mean inclusive and parentheses mean exclusive. Therefore, [tex]2\pi \notin [0, 2\pi)[/tex].

Find the length of PL


A. 23
B. 19
C. 30
D. 46

Answers

The answer is B) 19.

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

What is the equivalent equation solved for h?

StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h

Answers

The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Subject of Formula

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]

∴ [tex]\frac{P}{mg} = h[/tex]

Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Learn more on Subject of formula here: https://brainly.com/question/24155675

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Answer

B

Step-by-step explanation:

Edge 2022

Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

Answer:

C

Step-by-step explanation:

Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7

Estimate the difference 5,290-436​

Answers

Answer:

it will be

=> 4854

Step-by-step explanation:

hope it's helpful for you xd

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

25.5402665394

Step-by-step explanation:

x=24/cos(20) = 25.54026653942

The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Answers

Answer:

y = 20x

Step-by-step explanation:

For members

y = 1/2x + 6

Where,

y = yearly cost in dollars

x = total game tokens purchased

1/2 = cost of each game token

6 = yearly fee

For non members: without yearly fee

A nonmember pays $20 per game token

y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year

Answer:

B,C,E

Step-by-step explanation:

Got it right on Edge

Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 15%

Answers

Answer:

1610

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

you can easily get the solution without a calculator:

1400

+ 140 (+10%)

+ 70 (+5%)

= 1400 + 210

Can someone please help me with this?

Answers

Answer:

A - True

B - False

C - True

D - False

E - True

Step-by-step explanation:

What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20​

Answers

Answer:

d. 20

Step-by-step explanation:

28 ÷ (100%+40%)

= 28 ÷ 140%

= 28 ÷ 1.4 = 20

Answer:

option d

Step-by-step explanation:

Let the number be x

40% of x = 0.40x

Increased by 40% = 28

That is ,

           x + 0.40x = 28

               1.40x = 28

                   [tex]x = \frac{28}{1.40}\\[/tex]

                  [tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]

Therefore, the number is 20

Question 22 (5 points)
If the legs of a right triangle are 20 units and 21 units, what's the length of the
hypotenuse?
29 units
4.4 units
6.4 units
22 units

Answers

through my working i got to 41² is the hypotenuse.

21²+20²=c²

factor out the square

(21+20)²=c²

41²=c²

and 41² is 1681

Answer:

29 units

Step-by-step explanation:

i just took the quiz

the question is in the photo

Answers

[tex]\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15[/tex] here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot

Oof, someone please help asap! I don't recall ever seeing this type of question before!

Answers

Answer:

90

Step-by-step explanation:

You are looking for the highest common factor for 270 and 360.  

Factor the 2 numbers

270 = 2 * 5 * 3  * 3 * 3

360 = 2 * 2 * 2 * 3 * 3 * 5

Each of the numbers has a 5

Each of the numbers has two threes

Each of the numbers has one 2

So the answer is 2 * 3*3 * 5

What is the coefficient of x^3 in the expansion of (2x−3)^5?
Help please!!

Answers

Answer:

1....................

Answer:

1

Step-by-step explanation:

COEFFICIENT....

justbrainlyuser

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2009?

Answers

Answer:

Step-by-step explanation:

Well the percent of growth is 6%

The reason is because when we look at a exponential function, if the number in the percent is more than 1 subtract the number from 1 and multiply it by 100 thats your percent

Now to find the company's value in 2009 or 9 years after 2000

we just replace the variable representing time "t" for 9

221(1.06^9)= 373.37484994

the value of the company in 9 years is 373.37484994  (in million dollars)

the percentage of annual growth is 6%

pls give brainliest


Which of the following are possible
side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9

Answers

As we know,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

A. 4, 9, 4

[tex]4 + 9 > 4[/tex]

[tex]9 + 4 > 4[/tex]

[tex]4 + 4 < 9[/tex]

B. 3, 8, 12

[tex]3 + 8 < 12[/tex]

[tex]8 + 12 > 3[/tex]

[tex]12 + 3 > 8[/tex]

C. 8, 8, 9

[tex]8 + 8 > 9[/tex]

[tex]8 + 9 > 8[/tex]

[tex]9 + 8 > 8[/tex]

By observing the above,

the possible side lengths of a triangle are C. 8, 8, 9.

92×43 show work ( I know its easy but I'm tired so help please)​

Answers

Answer:

3956

Step-by-step explanation:

92 * 43

92 * 40 = 3680

92 * 3 = 276

3680 + 276 = 3956

50 pts pls help
What is the range of the function shown on the graph above?

Answers

572^ the answer above is correct!!!!!

Answer:

[0, 7]

Step-by-step explanation:

The range is the set of y-values.

The graphed function has its range between 0 and 7, both inclusive.

So the range is:

y ∈ [0, 7]

Which of the following are true statements? Check all that apply. (WILL GIVE BRAINLIEST)

A. log(M/N) = (logM)/(logN) B. logM+logN=log(MN)
C. log(M/N)=logM-logN
D. logM-logN=log(M-N)

Answers

Answer:

B and C are the correct answers

Step-by-step explanation:

Hope this helps!

The statement B and C are true according to logarithm rules.

What are logarithms?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

A) log(M/N) =log M/log N

Quotient rule is log (x/y)=log x-log y

So, which in not true

B) logM+logN=log(MN)

Product rule is log(xy)=logx+logy

So, the statement is ture

C) log(M/N) =log M - log N

Quotient rule is log (x/y)=log x-log y

So, the statement is ture

D) log M - log N=log(M-N)

Quotient rule is log (x/y)=log x-log y

So, which in not true

Therefore, the statement B and C are true according to logarithm rules.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ2

(a) Expand and simplify (4 + root3)(4 – root3).​

Answers

Step-by-step explanation:

just use (a+b)(a-b) = [tex]a^{2} - b^{2}[/tex][tex](4+\sqrt{3}) (4-\sqrt{3)} = 4^{2} - (\sqrt{3} )^{2} = 16 - 3 = 13[/tex]

answer is 13

define supplementary angles​

Answers

A pair of angles is known as supplementary angles when the sum of the angles is 180°

Step-by-step explanation:

Supplementary angles are those angles that measure up to 180 degrees.

hope it helps.stay safe healthy and happy....

El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?

Answers

Answer:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.

Step-by-step explanation:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.  

Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions

12t-2<-5t+36

Answers

Answer:

t < [tex]\frac{38}{17}[/tex]

Step-by-step explanation:

Add '5t' to both sides

12t - 2 +5t < -5t +36 +5t

17t -2 < 36

Add ' 2' to both sides  

17t -2 +2 < 36 + 2

17t < 38

Dividing '17' on both sides

[tex]\frac{17t}{17}[/tex] < [tex]\frac{38}{17}[/tex]

Step-by-step explanation:

let's hop to it mattie.

12t–2< –5t+36===> 12t+5t< 36+2====>

17t< 38====> t < 38÷17

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